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Optimal surface reconstruction from planar contours

Authors:

H. Fuchs,

Z. M. Kedem,

S. P. UseltonAuthors Info & Claims

Communications of the ACM, Volume 20, Issue 10

Pages 693 - 702

https://doi.org/10.1145/359842.359846

Published: 01 October 1977 Publication History

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Abstract

In many scientific and technical endeavors, a three-dimensional solid must be reconstructed from serial sections, either to aid in the comprehension of the object's structure or to facilitate its automatic manipulation and analysis. This paper presents a general solution to the problem of constructing a surface over a set of cross-sectional contours. This surface, to be composed of triangular tiles, is constructed by separately determining an optimal surface between each pair of consecutive contours. Determining such a surface is reduced to the problem of finding certain minimum cost cycles in a directed toroidal graph. A new fast algorithm for finding such cycles is utilized. Also developed is a closed-form expression, in terms of the number of contour points, for an upper bound on the number of operations required to execute the algorithm. An illustrated example which involves the construction of a minimum area surface describing a human head is included.

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This paper is concerned with the problem of reconstructing the surfaces of three-dimensional objects, given a collection of planar contours representing cross-sections through the objects. This problem has important aplications in biomedical research ...
Optimal surface reconstruction from planar contours
Optimal surface reconstruction from planar contours
SIGGRAPH '77: Proceedings of the 4th annual conference on Computer graphics and interactive techniques

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 October 1977

Published in CACM Volume 20, Issue 10

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Mynssen HAvelino-de-Souza KChaim KRibeiro VPatzke NMota B(2024)Stitcher: A Surface Reconstruction Tool for Highly Gyrified BrainsNeuroinformatics10.1007/s12021-024-09678-2Online publication date: 10-Oct-2024
https://doi.org/10.1007/s12021-024-09678-2
Adouani ISamir CAdouani ISamir C(2024)Spline Interpolation on Shape SpaceRegression and Fitting on Manifold-valued Data10.1007/978-3-031-61712-6_8(137-148)Online publication date: 24-Jul-2024
https://doi.org/10.1007/978-3-031-61712-6_8
Park YLee THahn JKang MOh ANaumann TGloberson ASaenko KHardt MLevine S(2023)p-Poisson surface reconstruction in curl-free flow from point cloudsProceedings of the 37th International Conference on Neural Information Processing Systems10.5555/3666122.3668748(60077-60098)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.5555/3666122.3668748
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